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A theoretical analysis of concentration of lactose hydrolysis in a packed bed reactor using immobilized β-galactosidase was discussed. The model is based on system of reaction diffusion equations containing a non-linear term related to Michalies-Menten kinetics of enzymatic reaction. In this paper, we obtained approximate analytical expressions for the concentrations of lactose and galactose for an isothermal reaction occurring under diffusive conditions in a packed bed tubular reactor containing immobilized enzyme using a new approach of homotopy perturbation method. The obtained analytical results were found to be in good agreement with the simulation results. Keywords: Mathematical modeling, Lactose hydrolysis, Immobilized enzyme, Michaelis–Menten kinetics